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Finding the Fourth Proportional to 31,920.80, 47,823.60 and 28,234.40

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Solution

The fourth proportional to 31,920.80, 47,823.60 and 28,234.40 is: 42,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.80 : 47,823.60 = 28,234.40 : x
  2. Step 2: Convert to fraction form
    31,920.80/47,823.60 = 28,234.40/x
  3. Step 3: Cross multiply
    31,920.80x = 47,823.60 × 28,234.40
  4. Step 4: Simplify right side
    31,920.80x = 1,350,270,651.84
  5. Step 5: Solve for x
    x = 1,350,270,651.84/31,920.80
  6. Step 6: Final answer
    x = 42,300.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.